Question (4-1): A machine of mass 940 kg produces a vertical disturbing force which oscillates sinusoidally, having amplitude of 320 N at the machine's normal running speed of 550 rev/min. At this speed the force transmitted to the floor is to have amplitude of not more than 100 N, and to achieve this the machine is to be mounted on viscously damped springs. The static deflection of the spring mountings is to be not more than 15 mm, and the amplitude of vibration at resonance is to be kept as low as possible. Find (a) the total spring stiffness and total viscous damping coefficient which will enable these conditions to be satisfied, and (b) the resonance speed of the machine when such mountings are fitted. Ans: 615kN/m, 8850 N.s/m,25.1 rad/s.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question (4-1): A machine of mass 940 kg produces a vertical disturbing force
which oscillates sinusoidally, having amplitude of 320 N at the machine's normal
running speed of 550 rev/min. At this speed the force transmitted to the floor is to
have amplitude of not more than 100 N, and to achieve this the machine is to be
mounted on viscously damped springs. The static deflection of the spring mountings
is to be not more than 15 mm, and the amplitude of vibration at resonance is to be
kept as low as possible. Find (a) the total spring stiffness and total viscous damping
coefficient which will enable these conditions to be satisfied, and (b) the resonance
speed of the machine when such mountings are fitted.
Ans: 615kN/m, 8850 N.s/m,25.1 rad/s.
Transcribed Image Text:Question (4-1): A machine of mass 940 kg produces a vertical disturbing force which oscillates sinusoidally, having amplitude of 320 N at the machine's normal running speed of 550 rev/min. At this speed the force transmitted to the floor is to have amplitude of not more than 100 N, and to achieve this the machine is to be mounted on viscously damped springs. The static deflection of the spring mountings is to be not more than 15 mm, and the amplitude of vibration at resonance is to be kept as low as possible. Find (a) the total spring stiffness and total viscous damping coefficient which will enable these conditions to be satisfied, and (b) the resonance speed of the machine when such mountings are fitted. Ans: 615kN/m, 8850 N.s/m,25.1 rad/s.
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